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Finding the Fourth Proportional to 1,887.23, 2,830.75 and 899.33

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Solution

The fourth proportional to 1,887.23, 2,830.75 and 899.33 is: 1,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.23 : 2,830.75 = 899.33 : x
  2. Step 2: Convert to fraction form
    1,887.23/2,830.75 = 899.33/x
  3. Step 3: Cross multiply
    1,887.23x = 2,830.75 × 899.33
  4. Step 4: Simplify right side
    1,887.23x = 2,545,767.05
  5. Step 5: Solve for x
    x = 2,545,767.05/1,887.23
  6. Step 6: Final answer
    x = 1,348.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.